3993792000 has 640 divisors, whose sum is σ = 15197884416. Its totient is φ = 921600000.

The previous prime is 3993791999. The next prime is 3993792017. The reversal of 3993792000 is 2973993.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65471970 + ... + 65472030.

Almost surely, 2^3993792000 is an apocalyptic number.

3993792000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3993792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598942208).

3993792000 is an abundant number, since it is smaller than the sum of its proper divisors (11204092416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3993792000 is a wasteful number, since it uses less digits than its factorization.

3993792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 42.

The square root of 3993792000 is about 63196.4555968133. The cubic root of 3993792000 is about 1586.5794112818.

The spelling of 3993792000 in words is "three billion, nine hundred ninety-three million, seven hundred ninety-two thousand".